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EN
Nowadays, in statistical analysis is the demand of methods which allows for understanding ongoing economic and social changes. One way of the corresponding description of analyzed phenomena is to consider their spatial location, what leads to an analysis of spatial data. Design of experiments is a tool of statistical quality control, which is used in practice of manufacturing companies. Methods of design of experiments are used to improve the results of the production process and have an influence on his economic aspect. The spatial analysis of data, such as the development of industry or the unemployment rate, leads to identifying areas of high and low level of economic development. The aim of this paper is to consider the problem of spatial differences of wages in Poland. For this purpose, in the analysis of spatial data, will be used the design of experiments methods.
EN
One of the most important tools of statistical quality control is a process capability analysis. In order to measure process capability the most used are indices constructed for one-dimensional characteristic of production process. However often production process is described by more than one characteristic. One should then conduct a multidimensional assessment of process capability with appropriately designed indicators. The aim of this article is to analyze the problem of process capability measure of multi-dimensional process with dependent characteristics, using a proposed multidimensional process capability index.
EN
Nowadays, in many fields of science it is necessary to carry out miscellaneous analyses using classical statistical methods, which usually have correct assumptions. These assumptions in the research realities cannot always be met, which makes it impossible to carry out analyses and leads to incorrect conclusions and recommendations. The study of the production process largely consists in the use of tools of statistical quality control which are based on classical statistical methods. These methods result in some improvements in technological and economic results of the manufacturing process. One of the tools of statistical quality control is the design of experiments, whose important element is the estimation of response surface function. The aim of this paper is to present the bootstrap method of estimation of response surface function and its use for empirical data.
PL
Planowanie eksperymentów jako metoda statystycznej kontroli jakości umożliwia właściwe przygotowanie procesu produkcyjnego poprzez ustalenie poziomów czynników oraz określenie ich wpływu na efekty realizowanego procesu. Metoda ta jest chętnie stosowana w przedsiębiorstwach, gdyż tylko prawidłowo ustawiony proces prze-biega bez zakłóceń. Skutkuje to zmniejszoną liczbą wytworzonych elementów wadliwych, czyli niższymi kosztami braków wewnętrznych i zewnętrznych. Stosowanie planowania eksperymentów wymaga jednak ponoszenia pewnych nakładów finansowych. Celem niniejszego artykułu jest przedstawienie struktury kosztów ponoszonych przez przedsiębiorstwo w związku z zastosowaniem narzędzia planowania eksperymentów oraz wskazanie możliwości takiego zaplanowania eksperymentu czynnikowego, by koszty te były minimalizowane. W artykule zaprezentowany zostanie algorytm realizacji planu eksperymentu czynnikowego uwzględniający koszty jego przeprowadzenia. Kosz-ty przeprowadzenia eksperymentu utworzonego zgodnie z proponowaną metodą zostaną porównane z kosztami realizacji klasycznych planów eksperymentów czynnikowych.
EN
Design of experiments as a method of statistical quality control enables proper planning and preparation of the production process by determining the levels of the factors and to determine their impact on the effects of realized process. This method is readily applicable in enterprises, as only correctly set process running smoothly. This results in a reduced number of produced defective elements, i.e. lower costs of internal and external lacks. The use of factorial design, however, requires incurring some financial outlay. The purpose of this article is to present the structure of the costs incurred by companies in connection with the use of the factorial design and to indicate possibilities of such planning factorial experiment that the costs were minimized. In the paper will be presented an algorithm of implementation fractional factorial design taking into account the cost of its maintenance. The proposed method of carrying out the design will be compared with the costs of implementation classical factorial design.
EN
The concept of the statistical control chart was developed in 1924 by W. A. Shewhart. The control chart is a graphical display of a quality characteristic such as sample mean, standard deviation or range. The classical control charts are constructed under such assumptions as the form of distribution and independence, and the normality of the distribution is usually assumed. In many situations we may have reason to doubt the validity of the independence assumption – for example, in chemical processes where consecutive measurements on process characteristics are often highly correlated. The paper presents a proposal for a control chart for monitoring auto-correlated processes. The properties of this control chart were analysed in a Monte Carlo study.
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